C2 Quadratics Flashcards

1
Q

Why we CTS?

A

Solve quadratics
Sketching graphs
Prove a function is positive or negative
Integration

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2
Q

Turning point in CTS equation

A

(-a,b)

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3
Q

What do u have to be careful with when dividing an equation?

A

U can always divide by a number, but never by x because that’s when you then loss solutions

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4
Q

How do u find the roots of an equation?

A

Can u factorise easily
If not, can u complete the square (putting f(x)=0)
Use of discriminant to identify what type of roots u have.

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5
Q

What’s the discriminant

A

b squared -4ac

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6
Q

What will the discriminant be if it has no real roots

A

Less than 0

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7
Q

What will the discriminant be if it has one reapted root

A

Equal 0

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8
Q

What will the discriminant be if it has 2 distinct real roots

A

Greater than 0

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